What two numbers multiply to 196 and add up to 53?

Here we answer the question: "What two numbers multiply to 196 and add up to 53?"

The answer to your question is:

4 and 49

Below we illustrate and prove that 4 and 49 multiply to 196 and add up to 53:

4 × 49 = 196
4 + 49 = 53

Are you asking because you are trying to figure out how to factor the following quadratic equation?

x² + 53x + 196 = 0

If so, the solution to factor the quadratic equation above is:

(x + 4 ) (x + 49)

To summarize, since 4 and 49 multiply to 196 and add up 53, you know that the following is true:

x² + 53x + 196 = (x + 4 ) (x + 49)

Multiply To One Number and Add Up To Another
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